Evaluate each expression 27^(-4/3)

Question

Accepted Answer

Welcome back. I'm so glad you're here, we are simplifying the expression. 36 raised to the three halves. So how do we simplify a number raised to an exponent? That's a fraction. The way I remember this is that this bottom number of the fraction that's like way down in the ground, like the roots of a tree is going to go inside the root and then this top number that's just floating way up high in the clouds, that's going to remain our exponent. So we can rewrite this, we bring the 36 down and we're going to take the square root of 36. The two is understood but I'm going to write it this time and then we're going to raise that whole thing to the third And we know that the square root of 36 is six, raise that to the third. That's going to be 216. We look at our answers and that is answer choice. D. Well done. We'll catch you on the next one.